The quantum sl(3) invariants of cubic bipartite planar graphs

Details The quantum sl(3) invariants of cubic bipartite planar graphs The quantum sl(3) invariants of cubic bipartite planar graphs

2006-02-21

arxiv.org/abs/math/0602473v2

Journal of knot theory and its ramifications 17(3) (2008), 361-375

Mathematics

Geometric Topology

Scientific paper

Temperley-Lieb algebras have been generalized to sl(3) web spaces. Since a cubic bipartite planar graph with suitable directions on edges is a web, the quantum sl(3) invariants naturally extend to all cubic bipartite planar graphs. First we completely classify them as a connected sum of primes webs. We also provide a method to find all prime webs and exhibit all prime webs up to 20 vertices. Using quantum sl(3) invariants, we provide a criterion which determine the symmetry of graphs.

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